Symmetries: A General Approach to Integrated Uncertainty Management

Abstract

We propose to use symmetries as a general approach to maintaining different types of uncertainty, and we show how the symmetry approach can help, especially in economics-related applications. Why SymmetriesFormulation of the problem. Our knowledge is rarely complete, we rarely have absolutely certainty. Uncertainty is present in different areas of knowledge. As a result, in many different areas of knowledge, different techniques and approaches have been developed to describe and process uncertainty. For example, in logical-type descriptions of knowledge typical for expert systems and Artificial Intelligence, formalisms like probabilistic logic and fuzzy logic have been developed to process uncertainty. In engineering-oriented probability-type descriptions, probability-related approaches have been developed such as the Dempster-Shafer approach, imprecise probabilities approach, etc.To solve complex real-life problems, we must takes into account knowledge form different areas. Since these different pieces of knowledge come with uncertainty, we must therefore jointly manage different types of uncertainty. We therefore need a general approach that would take care of different types of uncertainty.